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Finding the Fourth Proportional to 257,548.80, 386,323.20 and 253,174.80

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Solution

The fourth proportional to 257,548.80, 386,323.20 and 253,174.80 is: 379,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,548.80 : 386,323.20 = 253,174.80 : x
  2. Step 2: Convert to fraction form
    257,548.80/386,323.20 = 253,174.80/x
  3. Step 3: Cross multiply
    257,548.80x = 386,323.20 × 253,174.80
  4. Step 4: Simplify right side
    257,548.80x = 97,807,298,895.36
  5. Step 5: Solve for x
    x = 97,807,298,895.36/257,548.80
  6. Step 6: Final answer
    x = 379,762.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.